Energetics of Domain Walls in the 2D t-J model

TL;DR

This study uses density matrix renormalization group calculations to analyze the energy and interactions of domain walls in the 2D t-J model, revealing their prevalence across various doping levels and their energetic similarities.

Contribution

It provides a detailed energetic analysis of domain walls in the 2D t-J model as a function of doping, highlighting the conditions under which different types of domain walls are favored.

Findings

Ground state always has domain walls for 0 < x < 0.3.

Different domain wall types dominate at specific doping ranges.

Diagonal (1,1) and (1,0) domain walls have nearly the same energy at ho_ ext{ell} = 1.

Abstract

Using the density matrix renormalization group, we calculate the energy of a domain wall in the 2D t-J model as a function of the linear hole density \rho_\ell, as well as the interaction energy between walls, for J/t=0.35. Based on these results, we conclude that the ground state always has domain walls for dopings 0 < x < 0.3. For x < 0.125, the system has (1,0) domain walls with \rho_\ell ~ 0.5, while for 0.125 < x < 0.17, the system has a possibly phase-separated mixture of walls with \rho_\ell ~ 0.5 and \rho_\ell =1. For x > 0.17, there are only walls with \rho_\ell =1. For \rho_\ell = 1, diagonal (1,1) domain walls have very nearly the same energy as (1,0) domain walls.